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Finding the Fourth Proportional to 4,164.02, 6,248.50 and 1,533.38

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Solution

The fourth proportional to 4,164.02, 6,248.50 and 1,533.38 is: 2,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.02 : 6,248.50 = 1,533.38 : x
  2. Step 2: Convert to fraction form
    4,164.02/6,248.50 = 1,533.38/x
  3. Step 3: Cross multiply
    4,164.02x = 6,248.50 × 1,533.38
  4. Step 4: Simplify right side
    4,164.02x = 9,581,296.48
  5. Step 5: Solve for x
    x = 9,581,296.48/4,164.02
  6. Step 6: Final answer
    x = 2,300.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.